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Finding the Third Proportional to 711,564 and 1,100,597

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Solution

The third proportional to 711,564 and 1,100,597 is: 1,702,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,564 : 1,100,597 = 1,100,597 : x
  2. Step 2: Convert to fraction form
    711,564/1,100,597 = 1,100,597/x
  3. Step 3: Cross multiply
    711,564x = 1,100,597 × 1,100,597
  4. Step 4: Simplify right side
    711,564x = 1,211,313,756,409
  5. Step 5: Solve for x
    x = 1,211,313,756,409/711,564
  6. Step 6: Final answer
    x = 1,702,325.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.